Research Article
Statistical Analysis of a Weibull Extension with Bathtub-Shaped Failure Rate Function
Table 3
95% confidence interval for
in 1000 simulations by Wu’s exact.
| | | | Average | Average | Average | Coverage | Lower limit | Upper limit | Interval width | Probability |
| 10 | 8 | 3 | 0.4016 | 2.6205 | 2.2189 | 0.956 | 4 | 0.3626 | 2.7726 | 2.4100 | 0.951 | 5 | 0.3293 | 3.3279 | 2.9986 | 0.961 | 9 | 3 | 0.4493 | 2.3191 | 1.8699 | 0.953 | 4 | 0.4183 | 2.3419 | 1.9237 | 0,951 | 5 | 0.4190 | 2.7233 | 2.3043 | 0.942 |
| 15 | 13 | 3 | 0.5218 | 2.0465 | 1.5247 | 0.951 | 4 | 0.5113 | 2.0149 | 1.5036 | 0.946 | 5 | 0.5113 | 2.0591 | 1.5478 | 0.945 | 14 | 3 | 0.5350 | 1.9170 | 1.3820 | 0.951 | 4 | 0.5267 | 1.8683 | 1.3415 | 0.956 | 5 | 0.5238 | 1.8768 | 1.3530 | 0.968 |
| 20 | 16 | 4 | 0.5443 | 1.9095 | 1.3652 | 0.951 | 5 | 0.5324 | 1.8901 | 1.3577 | 0.956 | 6 | 0.5350 | 1.9469 | 1.4120 | 0.954 | 7 | 0.5248 | 1.9774 | 1.4526 | 0.954 | 17 | 4 | 0.5576 | 1.8412 | 1.2836 | 0.955 | 5 | 0.5490 | 1.8199 | 1.2709 | 0.951 | 6 | 0.5599 | 1.8739 | 1.3140 | 0.953 | 7 | 0.5420 | 1.8670 | 1.3250 | 0.962 | 18 | 5 | 0.5759 | 1.7837 | 1.2078 | 0.945 | 6 | 0.5658 | 1.7607 | 1.1948 | 0.956 | 7 | 0.5673 | 1.7889 | 1.2216 | 0.943 | 8 | 0.5615 | 1.8075 | 1.2460 | 0.957 |
| 25 | 20 | 5 | 0.5833 | 1.7904 | 1.2071 | 0.951 | 6 | 0.5726 | 1.7644 | 1.1918 | 0.942 | 7 | 0.5838 | 1.8197 | 1.2359 | 0.951 | 8 | 0.5695 | 1.8198 | 1.2503 | 0.962 | 21 | 6 | 0.5934 | 1.7386 | 1.1452 | 0.944 | 7 | 0.5854 | 1.7279 | 1.1425 | 0.946 | 8 | 0.5749 | 1.7237 | 1.1488 | 0.950 | 9 | 0.5810 | 1.7754 | 1.1944 | 0.951 | 22 | 6 | 0.6034 | 1.6876 | 1.0842 | 0.951 | 7 | 0.5974 | 1.6753 | 1.0779 | 0.949 | 8 | 0.5910 | 1.6730 | 1.0820 | 0.949 | 9 | 0.5925 | 1.6984 | 1.1060 | 0.947 |
| 30 | 25 | 7 | 0.6201 | 1.6580 | 1.0378 | 0.952 | 8 | 0.6097 | 1.6447 | 1.0350 | 0.946 | 9 | 0.6080 | 1.6520 | 1.0439 | 0.950 | 10 | 0.6084 | 1.6730 | 1.0646 | 0.954 | 26 | 7 | 0.6301 | 1.6321 | 1.0020 | 0.944 | 8 | 0.6219 | 1.6100 | 0.9881 | 0.951 | 9 | 0.6193 | 1.6158 | 0.9965 | 0.946 | 10 | 0.6166 | 1.6181 | 1.0016 | 0.958 | 27 | 8 | 0.6389 | 1.5909 | 0.9520 | 0.945 | 9 | 0.6303 | 1.5768 | 0.9465 | 0.955 | 10 | 0.6324 | 1.5931 | 0.9607 | 0.948 | 11 | 0.6298 | 1.5955 | 0.9657 | 0.947 |
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